论文标题

洛伦兹(Lorentzian)的综合理论的回顾

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds

论文作者

Cavalletti, Fabio, Mondino, Andrea

论文摘要

这项调查的范围是通过最佳传输$ \&$ entropy工具对(可能是非平滑的)Lorentzian空间(可能是非平滑的)lorentzian空间进行独立介绍,包括Hawking的singularity theorem theorem和Einstein vacuum eacum eacum eacum eacumate eactecations的合成版本。我们还将讨论从光滑的世界和未来研究的一些可能的方向引起的一些动机。

The scope of this survey is to give a self-contained introduction to synthetic timelike Ricci curvature bounds for (possibly non-smooth) Lorentzian spaces via optimal transport $\&$ entropy tools, including a synthetic version of Hawking's singularity theorem and a synthetic characterisation of Einstein's vacuum equations. We will also discuss some motivations arising from the smooth world and some possible directions for future research.

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